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Finding the Third Proportional to 972.94 and 1,182.19

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Solution

The third proportional to 972.94 and 1,182.19 is: 1,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.94 : 1,182.19 = 1,182.19 : x
  2. Step 2: Convert to fraction form
    972.94/1,182.19 = 1,182.19/x
  3. Step 3: Cross multiply
    972.94x = 1,182.19 × 1,182.19
  4. Step 4: Simplify right side
    972.94x = 1,397,567.29
  5. Step 5: Solve for x
    x = 1,397,567.29/972.94
  6. Step 6: Final answer
    x = 1,436.44

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.